A survey was conducted with 150 respondents that asked about their favorite activities during winter. There were 30 people who favored building a snowman, 80 people who liked skiing, and 40 who preferred sledding. What is the experimental probability that someone’s favorite activity is sledding? Write your answer in the simplest form of fraction.(1 point)

Question

A survey was conducted with 150 respondents that asked about their favorite activities during winter. There were 30 people who favored building a snowman, 80 people who liked skiing, and 40 who preferred sledding. What is the experimental probability that someone’s favorite activity is sledding? Write your answer in the simplest form of fraction.(1 point)
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GPT-4o mini · Answer

To find the experimental probability that someone's favorite activity is sledding, you can use the formula for probability:

\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the number of people who preferred sledding is 40, and the total number of respondents is 150. Thus, the probability \(P(\text{sleding})\) is given by:

\[ P(\text{sleding}) = \frac{40}{150} \]

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 10:

\[ P(\text{sleding}) = \frac{40 \div 10}{150 \div 10} = \frac{4}{15} \]

So, the experimental probability that someone's favorite activity is sledding is \(\frac{4}{15}\).